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Finding the Third Proportional to 97,105,319 and 208,027,010

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Solution

The third proportional to 97,105,319 and 208,027,010 is: 445,652,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,105,319 : 208,027,010 = 208,027,010 : x
  2. Step 2: Convert to fraction form
    97,105,319/208,027,010 = 208,027,010/x
  3. Step 3: Cross multiply
    97,105,319x = 208,027,010 × 208,027,010
  4. Step 4: Simplify right side
    97,105,319x = 43,275,236,889,540,096
  5. Step 5: Solve for x
    x = 43,275,236,889,540,096/97,105,319
  6. Step 6: Final answer
    x = 445,652,589.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.